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Unit 19
Probability of one event
Presentation 1 Simple Probability
Presentation 2 Probabilities
Presentation 3 Determining Probabilities
Presentation 4 Misconceptions
Unit 19
Probability of one event
Simple Probability
Discuss which of the following statements best fit the statement
a.It will snow in New York tomorrow
b.It will rain in Kingston on Saturday
c.You will be late to school tomorrow
d.There will be a hurricane in Jamaica next week
e.Jamaica will win the Men’s 4 x 100m gold medal at the
London 2012 Olympic Games
Certain Very
Unlikely
Likely Unlikely Very
Unlikely
Impossible
Unit 19
Probability of one event
You have finished viewing:
Simple Probability
Return to front slide
Presentation 1 Simple Probability
Presentation 2 Probabilities
Presentation 3 Determining Probabilities
Presentation 4 Misconceptions
Unit 19
Probability of one event
Probabilities
a. If you toss a fair coin, what is the probability that it
lands HEADS up?
b. The probability that it will rain tomorrow is
What is the probability that is will not rain tomorrow?
c. The probability of the Air Jamaica plane arriving late
at Kingston is 0.15
What is the probability of it not being late?
d. A school basketball team play 20 matches a year.
The probability that they win any match is
i. What is the probability that they do not win a match?
ii. How many matches can they expect to win a year?
e. It has been estimated that the probability that a
person has blue eyes is
Is it true that the probability that a person has brown
eyes is ?
0∙85
12
NO
Unit 19
Probability of one event
You have finished viewing:
Probabilities
Return to front slide
Presentation 1 Simple Probability
Presentation 2 Probabilities
Presentation 3 Determining Probabilities
Presentation 4 Misconceptions
Unit 19
Probability of one event
Determining Probabilities
a) When you roll a fair dice, what is the probability of
obtaining:
a) A ‘five’,
b) An even number,
c) A ‘four’ or a ‘five’ ?
b) A bag of sweets contains 6 mints and 4 chocolates.
One sweet is taken at random from the bag. What is
the probability that this sweet is
a) A mint,
b) A chocolate ?
Unit 19
Probability of one event
You have finished viewing:
Determining Probabilities
Return to front slide
Presentation 1 Simple Probability
Presentation 2 Probabilities
Presentation 3 Determining Probabilities
Presentation 4 Misconceptions
Unit 19
Probability of one event
Misconceptions
The following statements are misconceptions, that is, they are not
correct. Explain why.
Misconception 1
I’ve spun an unbiased coin 3
times and got 3 Heads.
It is more likely to be Tails
than Heads if I spin it again.
Misconception 1
I’ve spun an unbiased coin 3
times and got 3 Heads.
It is more likely to be Tails
than Heads if I spin it again.
Misconception 2
Village United plays Boys Town
in the National Premier League.
Village United can win, lose or
draw, so the probability that
Village United will win is ⅓
Misconception 2
Village United plays Boys Town
in the National Premier League.
Village United can win, lose or
draw, so the probability that
Village United will win is ⅓
Misconception 4
It is harder to throw a six
than a three with a dice
Misconception 5
It is not worth choosing
the numbers 1, 2, 3, 4, 5,
6 in the Jamaica Lottery
as this is less likely to
occur than other
combinations
Misconception 5
It is not worth choosing
the numbers 1, 2, 3, 4, 5,
6 in the Jamaica Lottery
as this is less likely to
occur than other
combinations
Misconception 3
There are 3 red beads and 5
blue beads in a bag.
I pick a bead at random.
The probability that it is red is
Misconception 3
There are 3 red beads and 5
blue beads in a bag.
I pick a bead at random.
The probability that it is red is
The following statements are misconceptions, that is, they are not
correct. Explain why.
Misconception 6
My Grandfather smoked 20
cigarettes a day for 60 years and
lived to be 90, so smoking can’t be
bad for you
Misconception 8
In Treasure Beach it will either rain
or not rain tomorrow.
So the probability that it will rain is
0∙5.
Misconception 8
In Treasure Beach it will either rain
or not rain tomorrow.
So the probability that it will rain is
0∙5.
Misconception 7
I have thrown an unbiased
dice 12 times and not yet
got a six.
The probability of getting a
6 on my next throw is more
than
Misconception 7
I have thrown an unbiased
dice 12 times and not yet
got a six.
The probability of getting a
6 on my next throw is more
than
Unit 19
Probability of one event
You have finished viewing:
Misconceptions
Return to front slide
Presentation 1 Simple Probability
Presentation 2 Probabilities
Presentation 3 Determining Probabilities
Presentation 4 Misconceptions

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Math unit19 probability of one event

  • 1. Unit 19 Probability of one event Presentation 1 Simple Probability Presentation 2 Probabilities Presentation 3 Determining Probabilities Presentation 4 Misconceptions
  • 2. Unit 19 Probability of one event Simple Probability
  • 3. Discuss which of the following statements best fit the statement a.It will snow in New York tomorrow b.It will rain in Kingston on Saturday c.You will be late to school tomorrow d.There will be a hurricane in Jamaica next week e.Jamaica will win the Men’s 4 x 100m gold medal at the London 2012 Olympic Games Certain Very Unlikely Likely Unlikely Very Unlikely Impossible
  • 4. Unit 19 Probability of one event You have finished viewing: Simple Probability Return to front slide Presentation 1 Simple Probability Presentation 2 Probabilities Presentation 3 Determining Probabilities Presentation 4 Misconceptions
  • 5. Unit 19 Probability of one event Probabilities
  • 6. a. If you toss a fair coin, what is the probability that it lands HEADS up? b. The probability that it will rain tomorrow is What is the probability that is will not rain tomorrow? c. The probability of the Air Jamaica plane arriving late at Kingston is 0.15 What is the probability of it not being late? d. A school basketball team play 20 matches a year. The probability that they win any match is i. What is the probability that they do not win a match? ii. How many matches can they expect to win a year? e. It has been estimated that the probability that a person has blue eyes is Is it true that the probability that a person has brown eyes is ? 0∙85 12 NO
  • 7. Unit 19 Probability of one event You have finished viewing: Probabilities Return to front slide Presentation 1 Simple Probability Presentation 2 Probabilities Presentation 3 Determining Probabilities Presentation 4 Misconceptions
  • 8. Unit 19 Probability of one event Determining Probabilities
  • 9. a) When you roll a fair dice, what is the probability of obtaining: a) A ‘five’, b) An even number, c) A ‘four’ or a ‘five’ ? b) A bag of sweets contains 6 mints and 4 chocolates. One sweet is taken at random from the bag. What is the probability that this sweet is a) A mint, b) A chocolate ?
  • 10. Unit 19 Probability of one event You have finished viewing: Determining Probabilities Return to front slide Presentation 1 Simple Probability Presentation 2 Probabilities Presentation 3 Determining Probabilities Presentation 4 Misconceptions
  • 11. Unit 19 Probability of one event Misconceptions
  • 12. The following statements are misconceptions, that is, they are not correct. Explain why. Misconception 1 I’ve spun an unbiased coin 3 times and got 3 Heads. It is more likely to be Tails than Heads if I spin it again. Misconception 1 I’ve spun an unbiased coin 3 times and got 3 Heads. It is more likely to be Tails than Heads if I spin it again. Misconception 2 Village United plays Boys Town in the National Premier League. Village United can win, lose or draw, so the probability that Village United will win is ⅓ Misconception 2 Village United plays Boys Town in the National Premier League. Village United can win, lose or draw, so the probability that Village United will win is ⅓ Misconception 4 It is harder to throw a six than a three with a dice Misconception 5 It is not worth choosing the numbers 1, 2, 3, 4, 5, 6 in the Jamaica Lottery as this is less likely to occur than other combinations Misconception 5 It is not worth choosing the numbers 1, 2, 3, 4, 5, 6 in the Jamaica Lottery as this is less likely to occur than other combinations Misconception 3 There are 3 red beads and 5 blue beads in a bag. I pick a bead at random. The probability that it is red is Misconception 3 There are 3 red beads and 5 blue beads in a bag. I pick a bead at random. The probability that it is red is
  • 13. The following statements are misconceptions, that is, they are not correct. Explain why. Misconception 6 My Grandfather smoked 20 cigarettes a day for 60 years and lived to be 90, so smoking can’t be bad for you Misconception 8 In Treasure Beach it will either rain or not rain tomorrow. So the probability that it will rain is 0∙5. Misconception 8 In Treasure Beach it will either rain or not rain tomorrow. So the probability that it will rain is 0∙5. Misconception 7 I have thrown an unbiased dice 12 times and not yet got a six. The probability of getting a 6 on my next throw is more than Misconception 7 I have thrown an unbiased dice 12 times and not yet got a six. The probability of getting a 6 on my next throw is more than
  • 14. Unit 19 Probability of one event You have finished viewing: Misconceptions Return to front slide Presentation 1 Simple Probability Presentation 2 Probabilities Presentation 3 Determining Probabilities Presentation 4 Misconceptions